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stealth61 [152]
2 years ago
5

Solve. Justify your responses. Given: a||b and c||d, m∠4=35° Find: m∠1, m∠2, and m∠3

Mathematics
2 answers:
Lunna [17]2 years ago
8 0
Angles 3 and 2 are 35 and Angle 1 is 145
vesna_86 [32]2 years ago
5 0

The measure of the angles m∠1, m∠2 and m∠3 are 145°, 35° and 35° respectively.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

m∠2 = m∠4 = 35° (corresponding angles are equal)

m∠2 = m∠3 = 35° (corresponding angles are equal)

m∠1 + m∠3 = 180° (base angles are supplementary)

m∠1 + 35 = 180

m∠1 = 145°

The measure of the angles m∠1, m∠2 and m∠3 are 145°, 35° and 35° respectively.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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valentina_108 [34]

Answer:

The answer is y = ± \sqrt[4]{\frac{x}{4}} ,  f^{-1}(x) is a function ⇒ 1st answer

Step-by-step explanation:

Let us revise the steps of find the inverse of a function

  1. Replace f(x) with y
  2. Replace every x by y and replace y by x
  3. Solve the equation in Step 2 for y
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∵ f(x)=4x^{4}

- Replace f(x) by y

∴ y=4x^{4}

- Replace y by x and x by y

∴ x=4y^{4}

- Divide each side by 4

∴ \frac{x}{4}=y^{4}

- Take \sqrt[4]{}  for both sides

∴ ± \sqrt[4]{\frac{x}{4}}=y

- Switch the two sides

∴ y = ± \sqrt[4]{\frac{x}{4}}

∵ There is no fourth root for negative number

∴ x ≥ 0

When you test the graph of f^{-1}(x) by a vertical line, it will cut it just at one in every position, so it is a function. Look to the attached graph for more understand

∴  f^{-1}(x) is a function

The answer is y = ± \sqrt[4]{\frac{x}{4}} ,  f^{-1}(x) is a function

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One line of symmetry an isosceles trapezoid has
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9966 [12]

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Step-by-step explanation:

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You use Pythagorean theorem to solve this problem.a^2+b^2=c^2
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2809=2025+784
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